Joint Invariants of Symplectic and Contact Lie Algebra Actions
Permanent lenke
https://hdl.handle.net/10037/19003Dato
2020-06-23Type
Master thesisMastergradsoppgave
Forfatter
Andreassen, FredrikSammendrag
By restricting generating functions of infinitesimal symmetries of symplectic and contact vector spaces to quadratic forms, we obtain a finite-dimensional Lie subalgebra, consisting of vector fields isomorphic to the linear symplectic or conformal symplectic algebra. This allows us to look for joint invariants of the diagonal action of g on product manifolds. We find an explicit recipe for creating a transcendence basis for the field of m-fold rational joint invariants over R, starting from a base space M of any dimension greater than or equal to 2.
Forlag
UiT Norges arktiske universitetUiT The Arctic University of Norway
Metadata
Vis full innførselSamlinger
Copyright 2020 The Author(s)
Følgende lisensfil er knyttet til denne innførselen: